Definition:Surjective on Objects
Jump to navigation Jump to search
Let $\mathbf C$ and $\mathbf D$ be metacategories.
Let $F: \mathbf C \to \mathbf D$ be a functor.
Then $F$ is said to be surjective on objects if and only if:
- For every object $D$ of $\mathbf D$, there is an object $C$ of $\mathbf C$ such that $F C = D$.